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Finding the Fourth Proportional to 3,020.69, 4,534.68 and 1,789.49

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Solution

The fourth proportional to 3,020.69, 4,534.68 and 1,789.49 is: 2,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.69 : 4,534.68 = 1,789.49 : x
  2. Step 2: Convert to fraction form
    3,020.69/4,534.68 = 1,789.49/x
  3. Step 3: Cross multiply
    3,020.69x = 4,534.68 × 1,789.49
  4. Step 4: Simplify right side
    3,020.69x = 8,114,782.56
  5. Step 5: Solve for x
    x = 8,114,782.56/3,020.69
  6. Step 6: Final answer
    x = 2,686.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.